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The system described by the equation y(n)=ay(n+1)+b x(n) is a recursive system.

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The system described by the equation y(n)=ay(n+1)+b x(n) is a recursive system.

(a) True

(b) False

This question was addressed to me in an online quiz.

Question is from Implementation of Discrete Time Systems topic in chapter Discrete Time Signals and Systems of Digital Signal Processing

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Right choice is (b) False

Explanation: Since the present output depends on the value of the future output, the system is not called a Recursive system.

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